Home / 1,762.24-2,431.60-1,171.76

Finding the Fourth Proportional to 1,762.24, 2,431.60 and 1,171.76

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Solution

The fourth proportional to 1,762.24, 2,431.60 and 1,171.76 is: 1,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.24 : 2,431.60 = 1,171.76 : x
  2. Step 2: Convert to fraction form
    1,762.24/2,431.60 = 1,171.76/x
  3. Step 3: Cross multiply
    1,762.24x = 2,431.60 × 1,171.76
  4. Step 4: Simplify right side
    1,762.24x = 2,849,251.62
  5. Step 5: Solve for x
    x = 2,849,251.62/1,762.24
  6. Step 6: Final answer
    x = 1,616.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.